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Finding the Third Proportional to 293.75 and 448

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Solution

The third proportional to 293.75 and 448 is: 683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.75 : 448 = 448 : x
  2. Step 2: Convert to fraction form
    293.75/448 = 448/x
  3. Step 3: Cross multiply
    293.75x = 448 × 448
  4. Step 4: Simplify right side
    293.75x = 200,704
  5. Step 5: Solve for x
    x = 200,704/293.75
  6. Step 6: Final answer
    x = 683.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.